KMS Of Academy of mathematics and systems sciences, CAS
| Explicit multi-symplectic methods for Hamiltonian wave equations | |
Hong, Jialin ; Jiang, Shanshan; Li, Chun; Liu, Hongyu
| |
| 2007-08-01 | |
| Source Publication | COMMUNICATIONS IN COMPUTATIONAL PHYSICS
 |
| ISSN | 1815-2406 |
| Volume | 2Issue:4Pages:662-683 |
| Abstract | In this paper, based on the multi-symplecticity of concatenating symplectic Runge-Kutta-Nystrom (SRKN) methods and symplectic Runge-Kutta-type methods for numerically solving Hamiltonian PDEs, explicit multi-symplectic schemes are constructed and investigated, where the nonlinear wave equation is taken as a model problem. Numerical comparisons are made to illustrate the effectiveness of our newly derived explicit multi-symplectic integrators. |
| Keyword | Hamiltonian wave equations multi-symplectic integration symplectic Runge-Kutta methods symplectic Runge-Kutta-Nystrom methods |
| Language | 英语 |
| WOS Research Area | Physics |
| WOS Subject | Physics, Mathematical |
| WOS ID | WOS:000248345000004 |
| Publisher | GLOBAL SCIENCE PRESS |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/4608 |
| Collection | 计算数学与科学工程计算研究所 |
| Corresponding Author | Hong, Jialin |
| Affiliation | 1.Chinese Acad Sci, Acad Mathemat & Syst Sci, Inst Computat Math, State Key Lab Sci & Engn Comp, Beijing 100080, Peoples R China 2.Chinese Acad Sci, Grad Sch, Beijing 100080, Peoples R China 3.Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China |
| Recommended Citation GB/T 7714 | Hong, Jialin,Jiang, Shanshan,Li, Chun,et al. Explicit multi-symplectic methods for Hamiltonian wave equations[J]. COMMUNICATIONS IN COMPUTATIONAL PHYSICS,2007,2(4):662-683. |
| APA | Hong, Jialin,Jiang, Shanshan,Li, Chun,&Liu, Hongyu.(2007).Explicit multi-symplectic methods for Hamiltonian wave equations.COMMUNICATIONS IN COMPUTATIONAL PHYSICS,2(4),662-683. |
| MLA | Hong, Jialin,et al."Explicit multi-symplectic methods for Hamiltonian wave equations".COMMUNICATIONS IN COMPUTATIONAL PHYSICS 2.4(2007):662-683. |
| Files in This Item: | There are no files associated with this item. | |||||
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Edit Comment